Orbit Fit and Astrometric record for 13RH156

The following information shows the result of the orbit fit based on Gary Bernstein's method. Most of the information should be self-explanatory. Take special note that while the original Bernstein software works with barycentric coordinates, we convert these results into a heliocentric coordinate system.

# Object: 13RH156   
# Created Sat Dec  4 02:11:54 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     12 observations of     12
# Arc:   5.00y
# First observation: 2013/09/08
#  Last observation: 2018/09/10
# Chi-squared of fit:     4.29 DOF:     18 RMS:  0.11
# Min/Max residuals:    -0.27    0.23
# Exact a, adot, b, bdot, g, gdot:
  1.597041E-05  2.778342E-02 -2.423194E-06 -4.355912E-03  2.707704E-02  1.355035E-03
# Covariance matrix:
  5.3718E-13 -2.6580E-14  4.3738E-15 -1.0625E-14  5.4631E-13  5.5638E-13
 -2.6580E-14  4.7680E-13  2.7233E-14 -7.4096E-14  6.0258E-13  3.8862E-12
  4.3738E-15  2.7233E-14  3.3191E-13 -9.3899E-14  3.8546E-14  2.4144E-13
 -1.0625E-14 -7.4096E-14 -9.3899E-14  5.0989E-14 -1.0191E-13 -6.5691E-13
  5.4631E-13  6.0258E-13  3.8546E-14 -1.0191E-13  1.8976E-12  5.3431E-12
  5.5638E-13  3.8862E-12  2.4144E-13 -6.5691E-13  5.3431E-12  3.4453E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
    1.431873   -2.616959    0.209962    0.024730   -0.986017  2456543.677988
# Heliocentric elements and errors
Epoch:              2456544.5000  =  2013/09/09
Mean Anomaly:           45.18538 +/-     0.175
Argument of Peri:      121.16473 +/-     0.205
Long of Asc Node:      185.90611 +/-     0.000
Inclination:             9.00532 +/-     0.000
Eccentricity:         0.05518158 +/-    0.0002
Semi-Major Axis:     39.38578198 +/-    0.0069
Time of Perihelion: 2445212.5912 +/-      44.0
Perihelion:          37.21241232 +/-    0.0088
Aphelion:            41.55915163 +/-    0.0094
Period (y)              247.1823 +/-      0.06
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           37.85708197 +/-    0.0019
Ecliptic Y           -1.93743965 +/-    0.0001
Ecliptic Z            0.92276312 +/-    0.0001
Ecliptic XDOT         0.00026991 +/-    0.0000
Ecliptic YDOT         0.00279845 +/-    0.0000
Ecliptic ZDOT        -0.00043674 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   37.91783158 +/-    0.0019
Geocenter to KBO     36.93166142 +/-    0.0019
# Hcoef:  7.98

The following table shows the complete astrometric record for 13RH156. The first three columns show the date of observation. The next six columns are RA and DEC. The next column (when provided) is the observed magnitude and filter. The next column is the object name (13RH156) followed by the observatory code and reference code for the source of the astrometry.

2013 09  08.17721  23 48 07.128  +00 16 23.89  24.0g 13RH156   W84  C~52RL      
2013 09  30.14155  23 46 21.871  +00 04 01.55  24.1r 13RH156   W84  C~52RL      
2013 09  30.14301  23 46 21.874  +00 04 01.70  23.7i 13RH156   W84  C~52RL      
2013 10  12.11037  23 45 27.221  -00 02 33.71  23.1i 13RH156   W84  C~52RL      
2015 11  07.05070  23 56 14.142  +00 33 26.01  24.0r 13RH156   W84  C~52RL      
2015 11  07.05207  23 56 14.147  +00 33 26.09  24.3g 13RH156   W84  C~52RL      
2016 09  11.19828  00 06 29.216  +01 26 40.84  23.3i 13RH156   W84  C~52RL      
2016 09  22.11486  00 05 37.258  +01 20 35.39  24.1r 13RH156   W84  C~52RL      
2017 09  27.18691  00 11 24.846  +01 41 39.74  23.1r 13RH156   W84  C~52RL      
2017 09  27.18828  00 11 24.830  +01 41 40.12  23.1i 13RH156   W84  C~52RL      
2017 11  08.07554  00 08 26.408  +01 20 17.92  23.7r 13RH156   W84  C~52RL      
2018 09  10.20572  00 18 56.528  +02 14 54.37  23.6i 13RH156   W84  C~52RL      

The following table shows the residuals to the orbit fit. The first coumn is the point number. The second column is the time, in years, measured from the first observation. The third and fifth columns are the regularized positions used in the orbit fit. The fourth and sixth columns are the residuals, in arc seconds, for RA and Dec respectively.

     1   0.0000      0.00     0.06       0.00    -0.00
     2   0.0601      0.00    -0.09       0.00    -0.20
     3   0.0601      0.00     0.06       0.00     0.00
     4   0.0929      0.00    -0.03       0.00     0.23
     5   2.1626      0.00    -0.04       0.00    -0.07
     6   2.1626      0.00     0.10       0.00     0.04
     7   3.0090      0.00    -0.08       0.00     0.01
     8   3.0388      0.00     0.09       0.00     0.01
     9   4.0520      0.00     0.09       0.00    -0.27
    10   4.0520      0.00    -0.04       0.00     0.16
    11   4.1667      0.00    -0.05       0.00     0.07
    12   5.0049      0.00     0.01       0.00     0.05

The following table comes from a 10My integration of the orbit of the object. Three columns are shown. The first column is the result of integrating the nominal orbit. The other two columns are based on clones of the nominal orbit that are +/- 3 sigma from the nominal orbit. If all three types agree then the classificiation is deemed secure. The basis for these calculations is described in more detail in AJ, 129, 1117 (2005). Any use made of these calculations should refer to and credit this publication and the Deep Ecliptic Survey Team.

13RH156    quality flag:3

Type:           3:2E      3:2E      3:2E

axisobj        39.584    39.584    39.584
ecceobj         0.060     0.060     0.060
incobj          8.983     8.983     8.983
qmin           36.073    36.019    36.009
qmax           43.332    43.322    43.479
amean          39.463    39.463    39.463
amin           39.046    39.043    39.045
amax           39.909    39.912    39.922
emean           0.061     0.060     0.061
emin            0.028     0.028     0.028
emax            0.087     0.086     0.089
imean          10.438    10.429    10.429
imin            8.776     8.776     8.776
imax           12.308    12.311    12.304
excite_mean     0.191     0.191     0.191
fracstop        1.000     1.000     1.000
cjmean          3.010     3.010     3.010

libcent 0       180.1     180.1     180.1
libamp  0       116.9     116.8     116.9
libcent 1      -180.0    -180.0    -180.0
libamp  1      -180.0    -180.0    -180.0
libcent 2      -180.0    -180.0    -180.0
libamp  2      -180.0    -180.0    -180.0
libcent 3      -180.0    -180.0    -180.0
libamp  3      -180.0    -180.0    -180.0
libcent 4      -180.0    -180.0    -180.0
libamp  4      -180.0    -180.0    -180.0

kozaimean       180.0     180.1     179.8
kozaiamp        180.0     179.9     180.0